What is the limit as x approaches 1 of x^{-1}-1 ?

The limit as x approaches 1 of x^{-1}-1 is 0

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limit as x approaches 1 of x^{-1}-1

x \to 1 lim (x^{- 1} - 1)

0

Solution steps

x \to 1 lim (x^{- 1} - 1)

Plug in the value

x = 1

= 1^{- 1} - 1

Simplify

= 0

k \to \infty lim (1 + \frac{3}{k})

x \to 2 lim (\frac{x ^{2} - 2}{x - 4})

x \to 1 + lim (\frac{x ^{2}}{1 - x ^{2}})

x \to 2 lim ((3 x - 1) (2 x + 5))

t \to 1 lim (2 t - t^{2})

What is the limit as x approaches 1 of x^{-1}-1 ?
The limit as x approaches 1 of x^{-1}-1 is 0